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Finding the Fourth Proportional to 121,286.70, 181,930.05 and 54,801.90

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Solution

The fourth proportional to 121,286.70, 181,930.05 and 54,801.90 is: 82,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286.70 : 181,930.05 = 54,801.90 : x
  2. Step 2: Convert to fraction form
    121,286.70/181,930.05 = 54,801.90/x
  3. Step 3: Cross multiply
    121,286.70x = 181,930.05 × 54,801.90
  4. Step 4: Simplify right side
    121,286.70x = 9,970,112,407.10
  5. Step 5: Solve for x
    x = 9,970,112,407.10/121,286.70
  6. Step 6: Final answer
    x = 82,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.